A new bridge is to be constructed over the East River in New York City. Two structural possibilities exist: the support could be in the shape of a parabola or the support could be in the shape of a semi-ellipse.
The space between the supports needs to be 1050 feet.
The height at the center of the arch needs to be 350 feet. Determine the equation of a parabola with these characteristics. (Hint: Place the vertex of the parabola at the origin to simplify calculations).
Part 1
a. What is your equation for the parabola? An empty tanker, 520 feet wide and 260 feet high needs to pass beneath the bridge.
b. Can the tanker pass under this bridge? Justify your answer. Determine the equation of a semi-ellipse with the same characteristics. (Hint: Place the center of the semi-ellipse at the origin to simplify calculations)
Part 2
a. What is the equation for the semi-ellipse? Show the work required to determine the equation.
b. Will the tanker (520 feet wide and 260 feet high) be able to pass under this bridge? Justify your answer.
Part 3
a. If the river were to flood and rise 10 feet, how would the channel widths and the clearances of the two bridges be affected? Explain, using numbers, how the width of the channel would be affected for each bridge.
b. With all things considered, which bridge design would you choose? Explain your reasoning.
In: Civil Engineering
Compute and Interpret Liquidity, Solvency and Coverage Ratios
Balance sheets and income statements for Lockheed Martin Corporation follow. Refer to these financial statements to answer the requirements.
| Consolidated Statements of Earnings | |||
|---|---|---|---|
| Year Ended December 31 (In millions) | 2016 | 2015 | |
| Net sales | |||
| Products | $ 40,365 | $ 34,868 | |
| Services | 6,883 | 5,668 | |
| Total net sales | 47,248 | 40,536 | |
| Cost of sales | |||
| Products | (36,616) | (31,091) | |
| Services | (6,040) | (4,824) | |
| Severance and other charges | (80) | (82) | |
| Other unallocated costs | 550 | (47) | |
| Total cost of sales | (42,186) | (36,044) | |
| Gross Profit | 5,062 | 4,492 | |
| Other income, net | 487 | 220 | |
| Operating profit | 5,549 | 4,712 | |
| Interest expense | (663) | (443) | |
| Other non-operating income (expense), net | - | 30 | |
| Earnings before taxes | 4,886 | 4,299 | |
| Income tax expense | (1,133) | (1,173) | |
| Net earnings from continuing operations | 3,753 | 3,126 | |
| Net (loss) earnings from discontinued operations | 1,549 | 479 | |
| Net earnings | $ 5,302 | $ 3,605 | |
| Consolidated Balance Sheets | ||
|---|---|---|
| December 31 (in millions, except par value) | 2016 | 2015 |
| Assets | ||
| Current Assets | ||
| Cash and cash equivalents | $ 1,837 | $ 1,090 |
| Receivables, net | 8,202 | 7,254 |
| Inventories, net | 4,670 | 4,819 |
| Other current assets | 399 | 441 |
| Assets of discontinued operations | - | 969 |
| Total current assets | 15,108 | 14,573 |
| Property, plant and equipment, net | 5,549 | 5,389 |
| Goodwill | 10,764 | 10,695 |
| Intangible assets, net | 4,093 | 4,022 |
| Deferred income taxes | 6,625 | 6,068 |
| Other noncurrent assets | 5,667 | 5,396 |
| Assets of discontinued operations | - | 3,161 |
| Total assets | $ 47,806 | $ 49,304 |
| Liabilities and stockholders' equity | ||
| Current Liabilities | ||
| Accounts payable | $ 1,653 | $ 1,745 |
| Customer advances and amounts in excess of costs incurred | 6,776 | 6,703 |
| Salaries, benefits and payroll taxes | 1,764 | 1,707 |
| Current maturities of long-term debt | - | 956 |
| Other current liabilities | 2,349 | 1,859 |
| Liabilities of discontinued operations | - | 948 |
| Total current liabilities | 12,542 | 13,918 |
| Long-term debt | 14,282 | 14,305 |
| Accrued pension liabilities | 13,855 | 11,807 |
| Other post-retirement benefit liabilities | 862 | 1,070 |
| Other noncurrent liabilities | 4,659 | 4,902 |
| Liabilities of discontinued operations | - | 205 |
| Total Liabilities | 46,200 | 46,207 |
| Stockholders' equity | ||
| Common stock, $1 par value per share | 289 | 303 |
| Additional paid-in capital | -- | -- |
| Retained earnings | 13,324 | 14,238 |
| Accumulated other comprehensive loss | (12,102) | (11,444) |
| Total stockholders' equity | 1,511 | 3,097 |
| Noncontrolling interests in subsidiary | 95 | - |
| Total equity | 1,606 | 3,097 |
| Total liabilities and stockholders' equity | $ 47,806 | $ 49,304 |
| Consolidated Statement of Cash Flows | |||
|---|---|---|---|
| Year Ended December 31 (in millions) | 2016 | 2015 | |
| Operating Activities | |||
| Net earnings | $ 5,302 | $ 3,605 | |
| Adjustments to reconcile net earnings to net cash provided by operating activities: | |||
| Depreciation and amortization | 1,215 | 1,026 | |
| Stock-based compensation | 149 | 138 | |
| Deferred income taxes | (152) | (445) | |
| Severance charges | 99 | 102 | |
| Gain on divestiture of IS&GS business | (1,242) | - | |
| Gain on step acquisition of AWE | (104) | - | |
| Changes in operating assets and liabilities: | |||
| Receivables, net | (811) | (256) | |
| Inventories, net | (46) | (398) | |
| Accounts payable | (188) | (160) | |
| Customer advances and amounts in excess of costs incurred | 3 | (32) | |
| Post-retirement benefit plans | 1,028 | 1,068 | |
| Income taxes | 146 | (48) | |
| Other, net | (210) | 501 | |
| Net cash provided by operating activities | 5,189 | 5,101 | |
| Investing Activities | |||
| Capital expenditures | (1,063) | (939) | |
| Acquisition of business/investments in affiliated | - | (9,003) | |
| Other, net | 78 | 208 | |
| Net cash used for investing activities | (985) | (9,734) | |
| Financing Activities | |||
| Special cash payment from divestiture of IS&GS businessk | 1,800 | - | |
| Repurchases of common stock | (2,096) | (3,071) | |
| Proceeds from stock option exercises | 106 | 174 | |
| Dividends paid | (2,048) | (1,932) | |
| Proceeds from the issuance of long-term debt | - | 9,101 | |
| Repayments of long-term debt | (952) | - | |
| Proceeds from borrowings under revolving credit facilities | - | 6,000 | |
| Repayments from borrowings under revolving credit facilities | - | (6,000) | |
| Other, net | (267) | 5 | |
| Net cash (used for) financing activities | (3,457) | 4,277 | |
| Net change in cash and cash equivalents | 747 | (356) | |
| Cash and cash equivalents at beginning of year | 1,090 | 1,446 | |
| Cash and cash equivalents at end of year | $ 1,837 | $ 1,090 | |
(a) Compute Lockheed Martin's current ratio and quick ratio for
2016 and 2015. (Round your answers to two decimal places.)
2016 current ratio = Answer
2015 current ratio = Answer
2016 quick ratio = Answer
2015 quick ratio = Answer
Which of the following best describes the company's current ratio
and quick ratio for 2016 and 2015?
The current ratio has increased while the quick ratio has decreased in the period from 2015 to 2016 , which suggests the company has a shortage of liquid assets.
Both the current and quick ratios have decreased from 2015 to 2016 however, the company is liquid.
Both the current and quick ratios have increased from 2015 to 2016, meaning the company is liquid.
The current ratio has decreased while the quick ratio has increased from 2015 to 2016, which suggests the company has a shortage of current assets.
(b) Compute total liabilities-to-equity ratios and total
debt-to-equity ratios for 2016 and 2015 . (Round your answers to
two decimal places.)
2016 total liabilities-to-stockholders' equity = Answer
2015 total liabilities-to-stockholders' equity = Answer
2016 total debt-to-equity = Answer
2015 total ebt-to-equity = Answer
Which of the following best describes the company's total
liabilities-to-equity ratios and total debt-to-equity ratios for
2016 and 2015?
The total liabilities-to-equity ratio has decreased while the total debt-to-equity ratio has increased in the period from 2015 to 2016, which suggests the company has decreased the use of short-term debt financing.
The total liabilities-to-equity ratio has increased while the total debt-to-equity ratio has decreased in the period from 2015 to 2016, which suggests the company has increased the use of short-term debt financing.
Both the total liabilities-to-equity and total debt-to-equity ratios have increased from 2015 to 2016. These increases suggest that the company is less solvent.
Both the total liabilities-to-equity and total debt-to-equity ratios have decreased from 2015 to 2016. The difference between these two measures reveals that any solvency concerns would be for the short run.
(c) Compute times interest earned ratio, cash from operations to
total debt ratio, and free operating cash flow to total debt
ratios. (Round your answers to two decimal places.)
2016 times interest earned = Answer
2015 times interest earned = Answer
2016 cash from operations to total debt = Answer
2015 cash from operations to total debt = Answer
2016 free operating cash flow to total debt = Answer
2015 free operating cash flow to total debt = Answer
Which of the following describes the company's times interest
earned, cash from operations to total debt, and free operating cash
flow to total debt ratios for 2016 and 2015? (Select all that
apply)
Answeryesno Lockheed Martin's free operating cash flow to total
debt ratio slightly decreased over the year 2016 due to decreased
cash flow from operations.
Answeryesno Lockheed Martin's times interest earned decreased
during 2016, due an increase in interest expense.
Answeryesno Lockheed Martin's cash from operations to total debt
ratio slightly increased over the year 2016 due to a decrease in
total debt.
Answeryesno Lockheed Martin's times interest earned increased
during 2016, due to an increase in profitability.
(d) Summarize your findings in a conclusion about the company's
credit risk. Do you have any concerns about the company's ability
to meet its debt obligations?
Lockheed Martin's total debt-to-equity is low, thus increasing any immediate solvency concerns. The company's ability to meet its debt requirements will depend on increasing short-term debt.
Lockheed Martin's quick ratio is low, thus increasing immediate solvency concerns. The company's ability to meet its debt requirements will depend on liquidating inventories for emergency cash.
Lockheed Martin's times interest earned ratio is strong, thus lessening any immediate solvency concerns. The company's ability to meet its debt requirements will depend on its continued profitability.
Lockheed Martin's total liabilities-to-equity is high, thus lessening any immediate solvency concerns. The company's ability to meet its debt requirements will depend on its use of equity financing.
In: Accounting
Gutek, Levine, and Ornstein, Foundations of Education, Chapters 1-6.
Discuss how public education is paid for in Tennessee: (1) Local support (name the taxes), (2) state support (name the taxes) and (3) federal support (name the taxes).
In: Operations Management
2. On March 1, 2016, Eagle Group Inc. sold $1,000,000, 9% bonds dated January 1, 2016 for $1,105,256 plus $15,000 accrued interest. Interest is payable annually on January 1, and the bonds mature on January 1, 2026. On July 1, 2017 Eagle Group retired $300,000 of the bonds at 105 plus accrued interest. Eagle Group uses straight-line amortization.
Required:
Prepare the journal entry to record the redemption of $300,000 bonds on July 1, 2017.
3.
One way to structure a lease to qualify it as an operating lease for the lessee, but as a capital lease for the lessor is to use different discount rates for the lessees and the lessors. State the other method to achieve the same goal.
In: Accounting
Paddleboard Inc. began operations on January 1, 2016. Its
post-closing trial balance at December 31, 2016 and 2017, is shown
below along with some other information.
| Paddleboard Inc. | ||
| Income Statement | ||
| For Year Ended December 31, 2017 | ||
| (000s) | ||
| Revenues: | ||
| Sales | $3,814 | |
| Cost of goods sold | 1,566 | |
| Gross Profit | 2,248 | |
| Expenses: | ||
| Other expenses | $850 | |
| Depreciation expense | 110 | |
| Total operating expenses | 960 | |
| Profit from operations | 1,288 | |
| Income tax expense | 288 | |
| Profit | $1,000 | |
| Paddleboard Inc. | ||
| Post-Closing Trial Balance | ||
| (000s) | ||
| December 31 | ||
| Account | 2017 | 2016 |
| Cash | $3,180 | $1,870 |
| Receivables | 2,820 | 2,110 |
| Merchandise inventory | 2,590 | 3,160 |
| Property, plant and equipment | 3,070 | 2,750 |
| Accumulated depreciation | 1,950 | 1,840 |
| Investments | 2,110 | 2,270 |
| Accounts payable | 1,950 | 1,470 |
| Accrued liabilities | 320 | 480 |
| Bonds payable | 2,530 | 2,700 |
| Common shares | 3,070 | 2,600 |
| Retained earnings | 3,950 | 3,070 |
Other information:
a. All accounts payable balances result from
merchandise purchases.
b. All sales are credit sales.
c. All credits to accounts receivable are receipts
from customers.
d. All debits to accounts payable result from
payments for merchandise.
e. All other expenses are cash expenses.
Required:
Prepare a statement of cash flows for 2017 using the direct method
to report cash inflows and outflows from operating activities.
(List any deduction in cash and cash outflows as negative
amounts. Enter amounts in thousands, not in dollar.)
In: Accounting
Houston crime statistics for 2016
|
2016 Crime (Actual Data)* |
Incidents |
|
Aggravated Assault |
12,487 |
|
Arson |
668 |
|
Burglary |
18,488 |
|
Larceny and Theft |
69,630 |
|
Motor Vehicle Theft |
12,738 |
|
Murder and Manslaughter |
301 |
|
Rape |
1,210 |
|
Robbery |
9,962 |
|
Crime Rate (Total Incidents) |
122,373 |
|
Property Crime |
100,856 |
|
Violent Crime |
23,960 |
In: Statistics and Probability
Cullumber Company Oriole Company 2017 2016 2017 2016 Net sales $1,856,000 $596,000 Cost of goods sold 1,079,000 298,000 Operating expenses 263,000 83,000 Interest expense 7,000 2,800 Income tax expense 75,000 34,000 Current assets 590,015 $565,462 150,838 $ 143,835 Plant assets (net) 953,508 905,000 252,908 227,720 Current liabilities 120,048 137,225 63,980 54,809 Long-term liabilities 206,322 162,900 53,612 45,250 Common stock, $10 par 905,000 905,000 217,200 217,200 Retained earnings 312,153 265,337 68,954 54,296 Compute the 2017 return on assets and the return on common stockholders’ equity for both companies. (Round all ratios to 1 decimal place, e.g. 2.5%.)
In: Accounting
Eastern Travel Services, Inc.
Comparative Balance Sheets
December 31, 2017 and 2016
Assets
2017
2016
Current assets:
Cash
$45,000
$20,000
Accounts receivable
77,000
81,000
Inventory
60,000
19,000
Prepaid insurance
13,000
17,000
Total current assets
$195,000
$137,000
Land
$105,000
$120,000
Equipment
84,000
53,000
Less: Accumulated depreciation
(21,000)
(16,000)
Total assets
$363,000
$294,000
Liabilities
Current liabilities:
Accounts payable
$29,000
$38,000
Wages payable
28,000
22,000
Interest payable
17,000
16,000
Income taxes payable
13,000
10,000
Total current liabilities
$87,000
$86,000
Notes payable (long-term)
93,000
87,000
Total liabilities
$180,000
$173,000
Stockholders' equity
Common stock
$152,000
$120,000
Retained earnings
31,000
1,000
Total stockholders' equity
$183,000
$121,000
Total liabilities and equity
$363,000
$294,000
The comparative balance sheet for
EasternEastern
Travel Services, Inc., for December 31,
20172017
and
20162016,
is as follows:
LOADING...
(Click the icon to view the comparative balance sheet.) The following information is taken from the records of
EasternEastern
Travel Services, Inc.:
LOADING...
(Click the icon to view the transaction data.)Prepare the statement of cash flows (indirect method) for
EasternEastern
Travel Services, Inc., for
20172017.
Prepare the statement one section at a time. (Use parentheses or a minus sign for numbers to be subtracted and decreases in cash.)
|
Eastern Travel Services, Inc. |
|||
|
Statement of Cash Flows—Operating Activities Section (Indirect Method) |
|||
|
For the Year Ended December 31, 2017 |
|||
|
Operating Activities: |
|||
|
Adjustments to reconcile net income to cash basis: |
|||
|
BALANCED SHEET |
|||
|
Balance sheet |
|||
|
Net cash provided by (used for) operating activities |
|||
|
a. |
Land
was sold for
$ 11 comma 000$11,000. |
|
b. |
Equipment was purchased for cash. |
|
c. |
There were no disposals of equipment during the year. |
|
d. |
The common stock was issued for cash. |
|
e. |
Net
income for
20172017 was$ 37 comma 000$37,000. |
|
f. |
Cash
dividends paid during the year were
$ 7 comma 000$7,000. TRANSACTION DATA |
a.
Land was sold for
$ 11 comma 000$11,000.
b.
Equipment was purchased for cash.
c.
There were no disposals of equipment during the year.
d.
The common stock was issued for cash.
e.
Net income for
20172017
was
$ 37 comma 000$37,000.
f.
Cash dividends paid during the year were
$ 7 comma 000$7,000.
In: Accounting
2. On March 1, 2016, Eagle Group Inc. sold $1,000,000, 9% bonds dated January 1, 2016 for $1,105,256 plus $15,000 accrued interest. Interest is payable annually on January 1, and the bonds mature on January 1, 2026. On July 1, 2017 Eagle Group retired $300,000 of the bonds at 105 plus accrued interest. Eagle Group uses straight-line amortization.
Required:
Prepare the journal entry to record the redemption of $300,000 bonds on July 1, 2017.
3.
One way to structure a lease to qualify it as an operating lease for the lessee, but as a capital lease for the lessor is to use different discount rates for the lessees and the lessors. State the other method to achieve the same goal.
In: Accounting
Calculate the angle between the vectors u = {5, -2, 3} and v ={4,-5,7} give details.
In: Computer Science